# Compass Math: Similar Figures Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. Is triangle ABC similar to triangle DEF?

#### Question 2 2. Mary claims that the triangles below are similar by AA. Do you agree or disagree with Mary?

#### Question 3 3. Given triangles DAR and KMR. What is the value of y?

#### Question 4 4. Which of the following measurements always remains the same in similar polygons?

#### Question 5 5. If square 1 is 5 times bigger than square 2, what is the measurement of one of the sides of square 1 if the sides of square 2 measure 2 inches?

### Page 2

#### Question 6 6. Determine if triangle VEZ is similar to triangle MAG.

#### Question 7 7. Two pentagons are similar. One pentagon has angle measurements of 76, 128, 119, 85, and 132. The other pentagon only has four listed angle measurements of 76, 119, 85, and 132. What is the measure of the missing angle?

#### Question 8 8. Greg is standing next to a 40 ft. tree. The sun casts a 5 ft. shadow of Greg, who is 6.4 ft. tall. How long is the tree's shadow?

#### Question 9 9. If an angle in polygon A measures 65 degrees, what does the matching angle in polygon B measure? Polygons A and B are similar polygons.

#### Question 10 10. Conclude whether triangle BEN is similar to triangle MAT.

### Page 3

#### Question 11 11. Josh claims that these triangles are similar by SSS. Do you agree or disagree with Josh?

#### Question 12 12. Triangle HYV and triangle AYB are similar by the AA similarity theorem. What is the value of x?

#### Question 13 13. Triangles and 1 and 2 are similar triangles. If triangle 1 has angles that measure 60, 30, and 90 respectively, what are the angle measurements of triangle 2?

#### Question 14 14. Which of the following are two similar polygons?

#### Question 15 15. Which of the following tools is needed to draw similar polygons?

### Page 4

#### Question 16 16. Brad places a marker on the ground 10 ft. away from the base of a tree at a botanical garden. He walks back towards the tree until he is standing 4 ft. away from the marker, and he is 6 ft. tall. Assuming that the top of Brad's head, the top of the tree, and the marker form two simliar triangles, how tall is the tree?

#### Question 17 17. If rectangle 1 measures 4 by 5 inches and rectangle 2 measures 12 by 15 inches, how much bigger is rectangle 2 than rectangle 1?

#### Question 18 18. Polygon A is 4 times smaller than polygon B. If one side of polygon B measures 20 inches, what does the matching side of polygon A measure?

#### Question 19 19. Study the given diagram. Find the value of x, the distance between T and E.

#### Question 20 20. Which of the following is not a polygon?

#### Compass Math: Similar Figures Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!